Optimizing melting heat effect in flow of dusty boger hybrid nanofluid with elastic deformation for industrial heat transfer applications

Examining the effects of elastic deformation and melting phenomena on mass and heat transmission while examining the constant two-dimensional flow of a dusty hybrid nanofluid over a sheet containing gyrotactic microbes and porous media is the primary objective of this investigation. The controlling partial differential equations are converted into ordinary differential equations by using the proper similarity transformation. The system of equations is then numerically solved using an efficient bvp4c approach. In the realm of bioengineering, this model is very useful, especially when constructing sophisticated cooling systems for biomedical devices where accurate temperature control is essential. The model's insights are also useful in environmental engineering, where they can be used to improve pollutant removal methods in water treatment procedures by enhancing bioconvective flows. This research also offers greater control over manufacturing operations that need precise temperature and fluid dynamic management in industrial processes involving the manipulation of non-Newtonian fluids. As the elastic deformation increases, the concentration and temperature distributions decrease. The velocity, microorganism's, thermal and concentration field enhance as augments the value of melting parameter.